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Finding the Fourth Proportional to 419.74, 625.35 and 399.09

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Solution

The fourth proportional to 419.74, 625.35 and 399.09 is: 594.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.74 : 625.35 = 399.09 : x
  2. Step 2: Convert to fraction form
    419.74/625.35 = 399.09/x
  3. Step 3: Cross multiply
    419.74x = 625.35 × 399.09
  4. Step 4: Simplify right side
    419.74x = 249,566.81
  5. Step 5: Solve for x
    x = 249,566.81/419.74
  6. Step 6: Final answer
    x = 594.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.